The expression (x4)(x−8)x−10 is equivalent to xn. What is the value of n?
You probably meant:
xn = (x^4)(x−8)x−10
n = ( (x^4)(x−8)x−10 )/x
strange to have that multiplier of x hanging around at
the end of (x^4)(x-8)
I have a suspicion there are typos in your expression
I suspect the problem was
(x^4)(x^-8)(x^-10) = x^(4-8-10) = x^-14
so n = -14
To find the value of n in the expression (x^4)(x^(-8))(x^(-10)) = x^n, we need to simplify the expression by applying the laws of exponents.
Let's break down each term separately:
- The first term, x^4, means x raised to the power of 4.
- The second term, x^(-8), has a negative exponent, which indicates the reciprocal of x^8. So, x^(-8) is equivalent to 1/(x^8).
- The third term, x^(-10), follows the same rule as the second term. It can be written as 1/(x^10).
Next, we multiply these terms:
(x^4)(x^(-8))(x^(-10)) = x^(4 + (-8) + (-10))
Now, we can combine the exponents:
x^(4 + (-8) + (-10)) = x^(-14)
Hence, the expression (x^4)(x^(-8))(x^(-10)) is equivalent to x^(-14). Therefore, the value of n is -14.